Comparison principle for elliptic equations in divergence with singular lower order terms having natural growth

DOI10.1142/S0219199716500139zbMath1359.35005OpenAlexW2279205648MaRDI QIDQ2974071

Pedro J. Martínez-Aparicio, David Arcoya, José Carmona

Publication date: 6 April 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199716500139

zbMATH Keywords

uniquenesscomparison principlequasilinear elliptic equationslower order forms

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Comparison principles in context of PDEs (35B51)

Related Items (4)

Quasilinear elliptic problems with singular and homogeneous lower order terms ⋮ A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems ⋮ Asymptotic behavior of solutions for nonlinear parabolic operators with natural growth term and measure data ⋮ Homogenization of singular quasilinear elliptic problems with natural growth in a domain with many small holes

Cites Work

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• Continuum of solutions for an elliptic problem with critical growth in the gradient
• Gelfand type quasilinear elliptic problems with quadratic gradient terms
• Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions
• Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions
• Linear and quasilinear elliptic equations
• Uniqueness of solutions for some elliptic equations with a quadratic gradient term

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